Finitely ramified graph-directed fractals, spectral asymptotics and the multidimensional renewal theorem
We consider the class of graph-directed constructions which are connected and have the property of finite ramification. By assuming the existence of a fixed point for a certain renormalization map, it is possible to construct a Laplace operator on fractals in this class via their Dirichlet forms. Ou...
| Hauptverfasser: | , |
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| Format: | Journal article |
| Sprache: | English |
| Veröffentlicht: |
2003
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